We find limiting distributions of the nonparametric maximum likelihood estimator (MLE) of a log-concave density, i.e. a density of the form f(0) = exp varphi(0) where varphi(0) is a concave function on R. Existence, form, characterizations and uniform rates of convergence of the MLE are given by Rufibach (2006) and Dümbgen and Rufibach (2007). The characterization of the log-concave MLE in term...

Abstract: We introduce the beta model for random hypergraphs in order to represent the occurrence of multi-way interactions among agents in a social network. This model builds upon and generalizes the well-studied beta model for random graphs, which instead only considers pairwise interactions. We provide two algorithms for fitting the model parameters, IPS (iterative proportional scaling) and ...

The Weibull distribution has received much interest in reliability theory. well-known maximum likelihood estimators (MLE) of this fam ily are not available closed form expression. In work, we propose a consistent and estimator for shape parameter three-parameter distribution. Apart from high degree performance, the derived is location scale-invariant.

Let be a random sample from a normal distribution with unknown mean and known variance The usual estimator of the mean, i.e., sample mean is the maximum likelihood estimator which under squared error loss function is minimax and admissible estimator. In many practical situations, is known in advance to lie in an interval, say for some In this case, the maximum likelihood estimator...

The satellite image deconvolution problem is ill-posed and must be regularized. Herein, we use an edge-preserving regularization model using a ' function, involving two hyperparameters. Our goal is to estimate the optimal parameters in order to automatically reconstruct images. We propose to use the Maximum Likelihood Estimator (MLE), applied to the observed image. We need sampling from prior a...

The use of multicast inference on end-to-end measurement has recently been proposed as a means to infer network internal characteristics such as packet link loss rate and delay. In this paper, we propose three types of algorithm that use loss measurements to infer the underlying multicast topology: i) a grouping estimator that exploits the monotonicity of loss rates with increasing path length;...

The Maximum Likelihood Estimator (MLE) is most often used to estimate the signal time delay in a multipath environment. There are various implementations of the MLE which can be divided into the time domain algorithms and the frequency domain algorithms. In this paper, the current time and frequency domain schemes are compared and analyzed in least square sense. Also novel solutions in both dom...

Single molecule fluorescent lifetime trajectories of surface immobilized double-stranded DNA coupled with a tetramethylrhodmaine and Cy5 FRET pair were directly measured using time-tagged single-photon counting and scanning confocal microscopy. A modified maximum likelihood estimator (MLE) was developed to compensate for localized background fluorescence and instrument response. With this algor...

Abstract: We introduce the beta model for random hypergraphs in order to represent the occurrence of multi-way interactions among agents in a social network. This model builds upon and generalizes the well-studied beta model for random graphs, which instead only considers pairwise interactions. We provide two algorithms for fitting the model parameters, IPS (iterative proportional scaling) and ...

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator MLE of ...